Among all mathematical models for avascular tumor growth, the present model is one of the newest models released by Sherratt and Chaplain in 2001. This model is based on cell densities of proliferating, quiescent and necrotic cells in a one-dimensional domain in space and is formulated as a system of partial differential equations. In this paper, adaptive moving mesh method is described briefly which in this method, to raise accuracy and efficiency, instead of using a uniform grid by a monitor function nodes are concentrated in areas where greater accuracy is required. The rest of the paper the adaptive moving mesh method is used for the numerical solution of the above avascular tumor growth model.

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